| 浅谈整数矩阵及其填充问题 |
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| 引用本文： | 郑锴.浅谈整数矩阵及其填充问题[J].价值工程,2010,29(33):253-253. |
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| 作者姓名： | 郑锴 |
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| 作者单位： | 杭州师范大学钱江学院,杭州310000 |
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| 摘 要： | 文章证明了如果一个部分整数矩阵有一条自由对角线,那么这个矩阵能被填充为一个单模矩阵。这样一个条件从一般意义上讲也是必要的。随后证明了如果一个n×n(n叟2)部分整数矩阵有2n-3个确定的元素并且这些元素中任何n个不构成一行或一列,那么这个矩阵能被填充为一个单模矩阵,这个结果改进了詹的一个最近的结果。
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| 关 键 词： | 整数矩阵 填充 问题研究 |
Disscussion on Integer Matrix and Its Filling Problems |
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| Zheng Kai.Disscussion on Integer Matrix and Its Filling Problems[J].Value Engineering,2010,29(33):253-253. |
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| Authors: | Zheng Kai |
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| Institution: | (Qianjiang College of Hangzhou Normal University,Hangzhou 310000,China)Zheng Kai |
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| Abstract: | The paper shows that if partial interger matrix has a free diagonal,then the matrix can be filled with a single-mode matrix.Such a condition from the general sense is also necessary.Then proved that if a n×n（n≥2）partial interger matrix has 2n-3 determining elements and these elements do not constitute any row or column,then this matrix can be filled with a single-mode matrix.This result improved the current results of John. |
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| Keywords: | interger matrix filling research |
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